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Finding the Fourth Proportional to 572.09, 788.91 and 466.84

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Solution

The fourth proportional to 572.09, 788.91 and 466.84 is: 643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.09 : 788.91 = 466.84 : x
  2. Step 2: Convert to fraction form
    572.09/788.91 = 466.84/x
  3. Step 3: Cross multiply
    572.09x = 788.91 × 466.84
  4. Step 4: Simplify right side
    572.09x = 368,296.72
  5. Step 5: Solve for x
    x = 368,296.72/572.09
  6. Step 6: Final answer
    x = 643.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.